Answer:
b=3.4
Step-by-step explanation:
The question in English is
The graph of the function y=-2.4x+b passes through the point with the coordinates (6;-11) find the number b
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope b is the y-intercept
In this problem we have
[tex]y=-2.4x+b[/tex] ----> linear equation in slope intercept form
we have the ordered pair (6,-11)
substitute the value of x and y in the linear equation and solve for b
[tex]-11=-2.4(6)+b[/tex]
solve for b
[tex]-11=-14.4+b[/tex]
Adds 14.4 both sides
[tex]b=-11+14.4\\b=3.4[/tex]
